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Maximally Selected Chi Square Statistics

Biometrics, 1982
Two samples can be compared by selecting a cut point and then forming a 2 x 2 table of the numbers of observations above and below the cut point in each sample. When the cut point is selected so as to maximize the standard chi square statistic, the chi square percentile points are inappropriate. Actual significance levels are computed for large samples,
Miller, Rupert, Siegmund, David
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Maximally Selected Chi-square Statistics for Ordinal Variables

Biometrical Journal, 2006
The association between a binary variable Y and a variable X having an at least ordinal measurement scale might be examined by selecting a cutpoint in the range of X and then performing an association test for the obtained 2 x 2 contingency table using the chi-square statistic. The distribution of the maximally selected chi-square statistic (i.e.
A. Boulesteix
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On Maximally Selected Chi-Square Statistics

Biometrics, 1991
Two samples can be compared by selecting a cutpoint and then forming a 2 x 2 table of the numbers of observations above and below the cutpoint in each sample. Miller and Siegmund (1982, Biometrics 38, 1011-1016) investigated asymptotic theory relating to the distribution of the "standard" chisquare statistic when the cutpoint is selected to maximize ...
J. Koziol
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Maximally Selected Chi Square Statistics for Small Samples

Biometrics, 1982
Two samples can be compared by selecting a cut point and forming a 2 x 2 table of the numbers of observations above and below the cut point in each sample. Different cut points correspond to the maximum chi square statistic, the maximum squared log odds ratio, and the generalized Kolmogorov-Smirnov statistic.
J. Halpern
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